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200220000221112 = 233316118472388569
BaseRepresentation
bin101101100001100101011001…
…111111010111011110111000
3222020220211211001212020121220
4231201211121333113132320
5202220401030024033422
61545455444233432040
760113263153326204
oct5541453177273670
9866824731766556
10200220000221112
1158883909444703
121a557b88b6b620
138794885032501
1437629b2047b04
1518232ad2c4e5c
hexb61959fd77b8

200220000221112 has 128 divisors (see below), whose sum is σ = 525451768934400. Its totient is φ = 63493870003200.

The previous prime is 200220000221107. The next prime is 200220000221119. The reversal of 200220000221112 is 211122000022002.

It is a junction number, because it is equal to n+sod(n) for n = 200220000221091 and 200220000221100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200220000221119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82629964 + ... + 85018532.

It is an arithmetic number, because the mean of its divisors is an integer number (4105091944800).

Almost surely, 2200220000221112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200220000221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262725884467200).

200220000221112 is an abundant number, since it is smaller than the sum of its proper divisors (325231768713288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200220000221112 is a wasteful number, since it uses less digits than its factorization.

200220000221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390517 (or 2390513 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200220000221112 its reverse (211122000022002), we get a palindrome (411342000243114).

The spelling of 200220000221112 in words is "two hundred trillion, two hundred twenty billion, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 61 62 93 122 124 183 186 244 248 366 372 488 732 744 1464 1847 1891 3694 3782 5541 5673 7388 7564 11082 11346 14776 15128 22164 22692 44328 45384 57257 112667 114514 171771 225334 229028 338001 343542 450668 458056 676002 687084 901336 1352004 1374168 2388569 2704008 3492677 4777138 6985354 7165707 9554276 10478031 13970708 14331414 19108552 20956062 27941416 28662828 41912124 57325656 74045639 83824248 145702709 148091278 222136917 291405418 296182556 437108127 444273834 582810836 592365112 874216254 888547668 1165621672 1748432508 1777095336 3496865016 4411686943 4516783979 8823373886 9033567958 13235060829 13550351937 17646747772 18067135916 26470121658 27100703874 35293495544 36134271832 52940243316 54201407748 105880486632 108402815496 136762295233 269112903523 273524590466 410286885699 538225807046 547049180932 807338710569 820573771398 1076451614092 1094098361864 1614677421138 1641147542796 2152903228184 3229354842276 3282295085592 6458709684552 8342500009213 16685000018426 25027500027639 33370000036852 50055000055278 66740000073704 100110000110556 200220000221112